#include<bits/stdc++.h>
#define int long long
using namespace std;
namespace IO
{
	template<typename T>
	void read(T &_x){_x=0;int _f=1;char ch=getchar();while(!isdigit(ch)) _f=(ch=='-'?-1:_f),ch=getchar();while(isdigit(ch)) _x=_x*10+(ch^48),ch=getchar();_x*=_f;}
	template<typename T,typename... Args>
	void read(T &_x,Args&...others){Read(_x);Read(others...);}
	const int BUF=20000000;char buf[BUF],to,stk[32];int plen;
	#define pc(x) buf[plen++]=x
	#define flush(); fwrite(buf,1,plen,stdout),plen=0;
	template<typename T>inline void print(T x){if(!x){pc(48);return;}if(x<0) x=-x,pc('-');for(;x;x/=10) stk[++to]=48+x%10;while(to) pc(stk[to--]);}
}
using namespace IO;
const int N = 1e9+7;
int t,a,b,c,ans,o,o1;
signed main()
{
	freopen("alien.in","r",stdin);
	freopen("alien.out","w",stdout);
	read(t);
	while(t--)
	{
		read(a),read(b),read(c); ans = 0;
		for(int i = 1;i <= a;i++)
			for(int j = 1;j <= b;j++)
				for(int z = 1;z <= c;z++)
				{
					o = o1 = 1;
					for(int d = 1;d <= i;d++) o *= j;
					for(int d = 1;d <= z;d++) o1 *= i;
					if(o == o1) ans++; 
				}
		print(ans),pc('\n'); 
	}
	flush();
	return 0;
}



